Keith Vetter 2007-10-12 : I'd thought I'd share some new techniques I've created while adding a new feature to my KLIMB bike mapping program which lets you plan bike routes interactively on topo maps [L1 ].
The new feature is another way of printing out bike routes by collecting multiple, smaller map segments and laying them out on a page. The key problem, however, is that the smaller map segments, in order to better cover the bike route, can be at any angle.
I'm still working on this new feature, and would like feedback on it, especially on the user interaction in specifying the map segment--it's tricky because the user can move, rotate and resize the selection.
A selection box is drawn on the map. The user can grab and move it anywhere. Grabbing the SE corner or by using the 3rd button, the user can rotate the box. Grabbing either of two resize controls lets you change the size.
The second aspect of this problem is laying out the results, and I haven't really done much with that yet. The third aspect is printing the result--that's going to be real fun to solve.
I included demo code, including a sample map image (compressed to death jpeg so it doesn't look great).
Some technical details.
The hardest/funnest part was extracting an angled rectangle area off a canvas. Initially I used TclMagick to do it, but because of poor documentation (I ended up using the php doc) and a few programming snags, I realized that that was overkill. Instead I used xphoto from Enhanced photo image copy command.
I use Img to grab the whole window, then crop that image to the bounding box of the selection. Next, I use xphoto to rotate the image. Then, after some simple trig, I use Img again to crop down to the selected area.
##+########################################################################## # # Clipbox -- grabs rectangular region of an image at any angle or size # by Keith Vetter, Sep, 2007 # package require Tk package require Img set hasXPhoto 1 if {[catch {load xphoto.dll}]} { wm withdraw . set msg "ERROR: missing xphoto.dll\n\n" append msg "This program requires the xphoto extension, which\n" append msg "can be downloaded from https://wiki.tcl-lang.org/11924\n\n" append msg "You can still run the program and interact with\n" append msg "the map but you cannot take snapshots." tk_messageBox -icon error -message $msg set hasXPhoto 0 wm deiconify . } namespace eval ::ClipBox { variable P ;# Box position variable M ;# Mousing info unset -nocomplain P set P(clr,1) cyan set P(clr,0) red array set M { xy {} minWidth 200 minHeight 200 mousing 0 resizeSize 8 cornerSize 15 cursor,corner exchange cursor,strip hand2 cursor,width fleur cursor,height fleur } } ##+########################################################################## # # Go -- creates the initial instance of our clipping box # proc ::ClipBox::Go {W p0 angle width height} { variable P set P(0) $p0 set P(a,deg) $angle set P(w) $width set P(h) $height $W delete BOX $W create poly -tag {BOX clip} -fill cyan -stipple gray50 -width 2 \ -outline black -dash - $W create poly -tag {BOX corner} -outline black -fill {} -width 2 $W create poly -tag {BOX width} -fill black $W create poly -tag {BOX height} -fill black $W create text -100 -100 -text "N" -font {Helvetica 20 bold} -fill red \ -anchor s -tag {BOX north northText} $W create line -100 -100 -200 -200 -width 5 -tag {BOX north northLine} \ -fill red -arrow first -arrowshape {25 25 6} foreach tag {clip corner width height} { $W bind $tag <1> [list ::ClipBox::MouseDown %W $tag %x %y] $W bind $tag <B1-Motion> [list ::ClipBox::MouseMove %W $tag %x %y] $W bind $tag <ButtonRelease-1> [list ::ClipBox::MouseUp %W] $W bind $tag <Enter> [list ::ClipBox::MouseEnter %W $tag] $W bind $tag <Leave> [list ::ClipBox::MouseLeave %W $tag] $W bind $tag <3> [list ::ClipBox::MouseDown %W corner %x %y] $W bind $tag <B3-Motion> [list ::ClipBox::MouseMove %W corner %x %y] $W bind $tag <ButtonRelease-3> [list ::ClipBox::MouseUp %W] } ::ClipBox::DrawClipBox $W } ##+########################################################################## # # DrawClipBox -- repositions all elements of our clipbox # proc ::ClipBox::DrawClipBox {W} { set xy [::ClipBox::GetBoxCoords] lassign [::ClipBox::GetSmallBoxCoords] bxy wxy hxy lassign [::ClipBox::NorthArrow] top bot $W coords clip $xy $W coords corner $bxy $W coords width $wxy $W coords height $hxy $W coords northText $top $W coords northLine [concat $top $bot] } ##+########################################################################## # # GetBoxCoords -- given topleft corner, width, height and angle # returns coordinates of the box # proc ::ClipBox::GetBoxCoords {} { variable P set w $P(w) set h $P(h) set a $P(a,deg) set a [expr {$a * acos(-1) / 180}] ;# Radians lassign $P(0) x0 y0 set x1 [expr {$x0 + $w*cos($a)}] set y1 [expr {$y0 + $w*sin($a)}] set P(1) [list $x1 $y1] set top [::Data::VSub $P(1) $P(0)] set left [::Data::VNormalTo $top $h] set P(3) [::Data::VAdd $P(0) $left] set P(2) [::Data::VAdd $P(3) $top] set xy [concat $P(0) $P(1) $P(2) $P(3)] return $xy } ##+########################################################################## # # GetSmallBoxCoords -- returns coords for rotate box and two sizing boxes # proc ::ClipBox::GetSmallBoxCoords {} { variable P variable M # Assumes P(0-3) are correct set top [::Data::VSub $P(1) $P(0)] set left [::Data::VSub $P(3) $P(0)] set nTop [::Data::VReScale $top 1] set nLeft [::Data::VReScale $left 1] set c2 $P(2) set c1 [::Data::VAdd $c2 $nLeft -$M(cornerSize)] set c0 [::Data::VAdd $c1 $nTop -$M(cornerSize)] set c3 [::Data::VAdd $c0 $nLeft $M(cornerSize)] set cxy [concat $c0 $c1 $c2 $c3] # Width adjust box set w [::Data::VAdd $P(1) $left .5] set rSize2 [expr {$M(resizeSize)/2.0}] set w1 [::Data::VAdd $w $nLeft -$rSize2] set w0 [::Data::VAdd $w1 $nTop -$M(resizeSize)] set w3 [::Data::VAdd $w0 $nLeft $M(resizeSize)] set w2 [::Data::VAdd $w3 $nTop $M(resizeSize)] set wxy [concat $w0 $w1 $w2 $w3] # Height adjust box set h [::Data::VAdd $P(3) $top .5] set h2 [::Data::VAdd $h $nTop $rSize2] set h1 [::Data::VAdd $h2 $nLeft -$M(resizeSize)] set h0 [::Data::VAdd $h1 $nTop -$M(resizeSize)] set h3 [::Data::VAdd $h0 $nLeft $M(resizeSize)] set hxy [concat $h0 $h1 $h2 $h3] return [list $cxy $wxy $hxy] } ##+########################################################################## # # NorthArrow -- computes where north compass arrow should be positioned # proc ::ClipBox::NorthArrow {} { variable P set cornerOffset 35 set fudgeFactor {0 15} set arrowLength {0 150} set dir [expr {$P(a,deg) >= 0 ? 1 : -1}] if {($P(a,deg) >= 0 && $P(a,deg) <= 90) || $P(a,deg) < -90} { set bisect [::Data::VBisect $P(1) $P(0) $P(3)] set pt $P(0) } else { set bisect [::Data::VBisect $P(2) $P(3) $P(0)] set pt $P(3) } set pt1 [::Data::VAdd $pt $bisect $cornerOffset] set top [::Data::VAdd $pt1 $fudgeFactor] set bot [::Data::VAdd $top $arrowLength $dir] if {$dir == -1} {lassign [list $bot $top] top bot} return [list $top $bot] } proc ::ClipBox::MouseEnter {W who} { variable M if {[info exists M(cursor,$who)]} { $W config -cursor $M(cursor,$who) } } proc ::ClipBox::MouseLeave {W who} { variable M if {$M(mousing)} return ;# Mouse down, don't change $W config -cursor {} } proc ::ClipBox::MouseDown {W who x y} { variable M variable P set M(xy) [list [$W canvasx $x] [$W canvasy $y]] set M(mousing) 1 if {$who eq "corner"} { $W config -cursor $M(cursor,corner) ::ClipBox::FourCorners $W # Create pivot lassign $P(0) X Y set xy [list [expr {$X-10}] [expr {$Y-10}] [expr {$X+10}] [expr {$Y+10}]] $W create oval $xy -tag {BOX pivot} -fill black ::ClipBox::MouseMove $W $who $x $y } } proc ::ClipBox::MouseUp {W} { variable M set M(mousing) 0 $W delete pivot $W config -cursor {} } proc ::ClipBox::MouseMove {W who x y} { variable M set x [$W canvasx $x] set y [$W canvasy $y] if {$who eq "corner"} { ::ClipBox::MouseSpin $W $who $x $y } elseif {$who eq "width" || $who eq "height"} { ::ClipBox::MouseResize $W $who $x $y } else { lassign $M(xy) bx by set M(xy) [list $x $y] set dx [expr {$x - $bx}] set dy [expr {$y - $by}] $W move BOX $dx $dy ::ClipBox::Onscreen $W } } ##+########################################################################## # # MouseSpin -- rotates clipbox to keep mouse point on the main diagonal # proc ::ClipBox::MouseSpin {W who x y} { variable P set v [::Data::VReScale [::Data::VSub [list $x $y] $P(0)] 1] set n [::Data::VDot [list 1 0] $v] set a1 [expr {acos($n)}] if {[lindex $v 1] < 0} { set a1 [expr {-$a1}] } ;# Quadrant check set a2 [expr {atan2($P(h), $P(w))}] set a3 [expr {$a1 - $a2}] set P(a,deg) [expr {$a3 * 180 / acos(-1)}] ::ClipBox::DrawClipBox $W ::ClipBox::Onscreen $W } ##+########################################################################## # # MouseResize -- resizes clipbox vertically or horizontally # proc ::ClipBox::MouseResize {W who x y} { variable P variable M ::ClipBox::FourCorners $W set top [::Data::VSub $P(1) $P(0)] set left [::Data::VSub $P(3) $P(0)] set nTop [::Data::VReScale $top 1] set nLeft [::Data::VReScale $left 1] if {$who eq "width"} { set p0 [::Data::VAdd $P(0) $left .5] set v [::Data::VSub [list $x $y] $p0] set w [::Data::VDot $nTop $v] if {$w < $M(minWidth)} return set P(w) $w } else { set p0 [::Data::VAdd $P(0) $top .5] set v [::Data::VSub [list $x $y] $p0] set h [::Data::VDot $nLeft $v] if {$h < $M(minHeight)} return set P(h) $h } ::ClipBox::DrawClipBox $W ::ClipBox::Onscreen $W } ##+########################################################################## # # Onscreen -- figures out if clipbox is off the screen at all # proc ::ClipBox::Onscreen {W} { variable P lassign [$W coords clip] x0 y0 x1 y1 x2 y2 x3 y3 set l [expr {round([::Data::Min $x0 $x1 $x2 $x3])}] set r [expr {round([::Data::Max $x0 $x1 $x2 $x3])}] set t [expr {round([::Data::Min $y0 $y1 $y2 $y3])}] set b [expr {round([::Data::Max $y0 $y1 $y2 $y3])}] set cx0 [$W canvasx 0] set cy0 [$W canvasy 0] set cx1 [expr {$cx0 + [winfo width $W]}] set cy1 [expr {$cy0 + [winfo height $W]}] set onscreen 1 if {$l < $cx0 || $t < $cy0 || $r > $cx1 || $b > $cy1} { set onscreen 0 } $W itemconfig clip -fill $P(clr,$onscreen) return $onscreen } proc ::ClipBox::PointOnscreen {W pt} { lassign $pt x y set cx0 [$W canvasx 0] set cy0 [$W canvasy 0] set cx1 [expr {$cx0 + [winfo width $W]}] set cy1 [expr {$cy0 + [winfo height $W]}] return [expr {$x >= $cx0 && $x <= $cx1 && $y >= $cy0 && $y <= $cy1}] } ##+########################################################################## # # FourCorners -- fills in our data structures with clipbox's corners # proc ::ClipBox::FourCorners {W} { variable P foreach idx {0 1 2 3} {x y} [$W coords clip] { set P($idx) [list $x $y] } } ##+########################################################################## # # GetClipBoxSizes -- computes parameters needed to crop, rotate # and crop again the image # proc ::ClipBox::GetClipBoxSizes {W} { variable P ::ClipBox::FourCorners $W lassign $P(0) x0 y0; lassign $P(1) x1 y1; lassign $P(2) x2 y2; lassign $P(3) x3 y3 set l [expr {round([::Data::Min $x0 $x1 $x2 $x3])}] set r [expr {round([::Data::Max $x0 $x1 $x2 $x3])}] set t [expr {round([::Data::Min $y0 $y1 $y2 $y3])}] set b [expr {round([::Data::Max $y0 $y1 $y2 $y3])}] #set P(bbox) [list $l $t $r $b] set P(bbox) [::ClipBox::World2Canvas $W $l $t $r $b] set dy [expr {$y1 - $y0}] set dx [expr {$x1 - $x0}] set dx2 [expr {$x3 - $x0}] set dy2 [expr {$y3 - $y0}] # Question: use values from p or recompute from coordinates??? set P(a,rad) [expr {atan2($dy,$dx)}] set P(a,deg) [expr {$P(a,rad)*180/acos(-1)}] set P(w) [expr {round(hypot($dx,$dy))}] set P(h) [expr {round(hypot($dx2,$dy2))}] # R0 is topleft corner in the rotated image # R1 is bottomright corner in the rotated image set P(rx0) [expr {abs(round($dy2 * sin($P(a,rad))))}] set P(ry0) [expr {abs(round($dx * sin($P(a,rad))))}] set P(rx1) [expr {$P(rx0) + $P(w)}] set P(ry1) [expr {$P(ry0) + $P(h)}] } ##+########################################################################## # # World2Canvas -- translates world coordinates into canvas ones # proc ::ClipBox::World2Canvas {W args} { set x0 [$W canvasx 0] set y0 [$W canvasy 0] set result {} foreach {x y} $args { set x [expr {round($x - $x0)}] set y [expr {round($y - $y0)}] lappend result $x $y } return $result } ##+########################################################################## # # Snapshot -- extracts content of the clipbox, with the proper # cropping and rotating. # proc ::ClipBox::Snapshot {W} { variable P # Hide everything except compass north raise [winfo toplevel $W] $W lower BOX ; $W raise north update idletasks ::ClipBox::GetClipBoxSizes $W set snap [image create photo -data $W] set rot [image create photo] set chop [image create photo] $W raise BOX ; $W raise north set crop [eval ::ClipBox::SafeCrop $snap $P(bbox)] $rot copy $crop -rotate $P(a,deg) $chop copy $rot -from $P(rx0) $P(ry0) $P(rx1) $P(ry1) image delete $snap image delete $crop image delete $rot if {[::ClipBox::PointOnscreen $W $P(1)]} { ;# Move clipbox forward set P(0) $P(1) ::ClipBox::DrawClipBox $W } return $chop } ##+########################################################################## # # SafeCrop -- crops image handling off image coordinates # proc ::ClipBox::SafeCrop {cimg left top right bottom} { set w [image width $cimg] set h [image height $cimg] set pad(l) [expr {$left < 0 ? -$left : 0}] set left [::Data::Max $left 0] set pad(t) [expr {$top < 0 ? -$top : 0}] set top [::Data::Max $top 0] set pad(r) [expr {$right > $w ? $right-$w : 0}] set right [::Data::Min $right $w] set pad(b) [expr {$bottom > $h ? $bottom-$h : 0}] set bottom [::Data::Min $bottom $h] set crop [image create photo] $crop copy $cimg -from $left $top $right $bottom set pimg [::ClipBox::PadImage $crop $pad(l) $pad(t) $pad(r) $pad(b)] return $pimg } ##+########################################################################## # # PadImage -- adds requested borders to the image # proc ::ClipBox::PadImage {img left top right bottom} { if {$left == 0 && $top == 0 && $right == 0 && $bottom == 0} {return $img} set w [expr {[image width $img] + $left + $right}] set h [expr {[image height $img] + $top + $bottom}] set tmp [image create photo -width $w -height $h] $tmp put yellow -to 0 0 $w $h $tmp copy $img -to $left $top image delete $img return $tmp } namespace eval ::ShowPics { variable S unset -nocomplain S image create bitmap ::bmp::up -data { #define up_width 11 #define up_height 11 static char up_bits = { 0x00, 0x00, 0x20, 0x00, 0x70, 0x00, 0xf8, 0x00, 0xfc, 0x01, 0xfe, 0x03, 0x70, 0x00, 0x70, 0x00, 0x70, 0x00, 0x00, 0x00, 0x00, 0x00 } } image create bitmap ::bmp::down -data { #define down_width 11 #define down_height 11 static char down_bits = { 0x00, 0x00, 0x00, 0x00, 0x70, 0x00, 0x70, 0x00, 0x70, 0x00, 0xfe, 0x03, 0xfc, 0x01, 0xf8, 0x00, 0x70, 0x00, 0x20, 0x00, 0x00, 0x00 } } image create bitmap ::bmp::x -foreground white -data { #define X_width 11 #define X_height 11 static char X_bits = { 0x04, 0x01, 0x8e, 0x03, 0xdf, 0x07, 0xfe, 0x03, 0xfc, 0x01, 0xf8, 0x00, 0xfc, 0x01, 0xfe, 0x03, 0xdf, 0x07, 0x8e, 0x03, 0x04, 0x01 } } } proc ::ShowPics::ShowImg {W} { variable S global I set img [::ClipBox::Snapshot $W] if {! [winfo exists .show]} { toplevel .show wm protocol .show WM_DELETE_WINDOW ::ShowPics::Cleanup wm title .show "Snap Shot Gallery" RightWindow .show $W #wm transient .show [winfo toplevel $W] unset -nocomplain S } set id [expr {1 + [llength [grid slaves .show]]}] set w .show.$id frame $w grid $w -sticky w if {$id > 1} { grid config $w -pady {10 0}} button $w.up -image ::bmp::up -takefocus 0 \ -command [list ::ShowPics::Swap up $id] button $w.x -image ::bmp::x -bg red -takefocus 0 \ -command [list ::ShowPics::DeleteRow $id] button $w.down -image ::bmp::down -takefocus 0 \ -command [list ::ShowPics::Swap down $id] frame $w.right -bd 2 -relief solid ::ShowPics::OneImage $w.right $img $id set S($id,img) $img set S($id,txt) "<description for this map>" ::ShowPics::DoButtons grid $w.up $w.right -sticky s grid $w.x ^ -pady 5 grid $w.down ^ -sticky n -pady [list 0 [winfo reqheight $w.right.txt]] grid rowconfigure $w {0 2} -weight 1 grid columnconfigure $w 0 -pad 10 raise .show } proc ::ShowPics::Cleanup {} { variable S destroy .show foreach arr [array names S *,img] { image delete $S($arr) } unset -nocomplain S } proc ::ShowPics::OneImage {w img id} { variable S set S($id,w) $w.img label $w.img -image $img -bd 0 label $w.id -text "MAP $id" -font {Helvetica 12 bold} -anchor e entry $w.txt -font {Helvetica 12 bold} -justify c -bd 0 \ -textvariable ::ShowPics::S($id,txt) pack $w.img -side top -fill both -expand 1 pack $w.id -side right pack $w.txt -side left -fill both -expand 1 } proc ::ShowPics::SwapRows {row1 row2} { variable S set txt $S($row1,txt) set S($row1,txt) $S($row2,txt) set S($row2,txt) $txt set img $S($row1,img) set S($row1,img) $S($row2,img) set S($row2,img) $img $S($row1,w) config -image $S($row1,img) $S($row2,w) config -image $S($row2,img) } proc ::ShowPics::Swap {dir which} { set other [expr {$dir eq "up" ? $which-1 : $which+1}] ::ShowPics::SwapRows $which $other } proc ::ShowPics::DeleteRow {which} { variable S set len [llength [array names S *,img]] for {set row $which} {$row < $len} {incr row} { ::ShowPics::SwapRows $row [expr {$row+1}] } destroy .show.$len image delete $S($len,img) array unset S $len,* ::ShowPics::DoButtons if {$len == 1} ::ShowPics::Cleanup } proc ::ShowPics::DoButtons {} { variable S set len [llength [array names S *,img]] if {$len == 0} return for {set i 1} {$i <= $len} {incr i} { .show.$i.up config -state normal .show.$i.down config -state normal } .show.1.up config -state disabled .show.$len.down config -state disabled } ################################################################ # # Utility routines # namespace eval ::Data {} proc ::Data::Max {a args} { foreach arg $args {if {$arg > $a} { set a $arg}} return $a } proc ::Data::Min {a args} { foreach arg $args {if {$arg < $a} { set a $arg}} return $a } proc ::Data::VAdd {v1 v2 {scaling 1}} { lassign $v1 x1 y1; lassign $v2 x2 y2 return [list [expr {$x1 + $scaling*$x2}] [expr {$y1 + $scaling*$y2}]] } proc ::Data::VSub {v1 v2} { return [::Data::VAdd $v1 $v2 -1] } proc ::Data::VReScale {v scaling} { lassign $v x y set len [expr {hypot($x,$y)}] return [list [expr {$x * $scaling / $len}] [expr {$y * $scaling / $len}]] } proc ::Data::VNormalTo {vv length} { lassign $vv x y set len [expr {hypot($x,$y)}] set xx [expr {-$y * $length / $len}] set yy [expr {$x * $length / $len}] return [list $xx $yy] } proc ::Data::VBisect {p1 p2 p3} { set v1 [::Data::VReScale [::Data::VSub $p1 $p2] 1] set v2 [::Data::VReScale [::Data::VSub $p3 $p2] 1] set v [::Data::VReScale [::Data::VAdd $v1 $v2] 1] return $v } proc ::Data::VDot {v1 v2} { lassign $v1 x1 y1; lassign $v2 x2 y2 return [expr {$x1*$x2 + $y1*$y2}] } proc RightWindow {w {W .}} { update idletasks set W [winfo toplevel $W] set y [expr {3 + [winfo y $W]}] ;# Top of main window set x [expr {15 + [winfo x $W] + [winfo width $W]}] ;# Right side wm geom $w +$x+$y } ################################################################ # # DEMO CODE BELOW # image create photo ::img::img -data { 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################################################################ # # Demo code proc DoDisplay {} { bind all <F2> {console show} wm title . "Clip Box Demo" canvas .c -highlightthickness 0 -bd 0 \ -width [image width ::img::img] -height [image height ::img::img] .c create image 0 0 -image ::img::img -anchor nw .c config -scrollregion [.c bbox all] button .chop -text "Take Snap Shot" -command [list ::ShowPics::ShowImg .c] if {! $::hasXPhoto} { .chop config -state disabled } button .about -text About -command About pack .c -side top #pack .chop .about -side left -pady 10 -expand 1 -padx 10 pack .about -side right -padx 10 -pady 10 pack .chop -side bottom -pady 10 bind .c <2> [bind Text <2>] ;# Enable dragging w/ <2> bind .c <B2-Motion> [bind Text <B2-Motion>] } DoDisplay wm geom . +1+1 ::ClipBox::Go .c {35 135} -7 700 200 set W .c return