1. A system for warping a three-dimensional virtual object, the system comprising:
(a) a meshing module that creates an editable mesh corresponding to a portion of a surface of a three-dimensional virtual object;
(b) an analytic module that modifies the editable mesh in response to a stimulus; and
(c) a warping module that warps the three-dimensional virtual object to accommodate the modified editable mesh while substantially maintaining surface detail over the warped portion.
2. The system of claim 1, wherein the portion of the surface of the three-dimensional virtual object in (a) is user-selected.
3. The system of claim 2, wherein the portion in (a) is selected using a paint mechanism of a graphical user interface.
4. The system of claim 1, wherein the stimulus comprises a user command.
5. The system of claim 4, wherein the user command comprises a manipulation of a user interface device.
6. The system of claim 5, wherein the user interface device comprises at least one of a mouse, a computer keyboard, a touch screen, and a haptic interface device.
7. The system of claim 4, wherein the user command comprises a selection of a point of the editable mesh and a manipulation of the point in three-dimensional space.
8. The system of claim 7, wherein the analytic module modifies the editable mesh to maintain a surface that is fixed along its periphery and that contains the selected point.
9. The system of claim 8, wherein the analytic module modifies the editable mesh between its periphery and the selected point according to a falloff parameter.
10. The system of claim 8, wherein the analytic module modifies the editable mesh to define a peaked volume in response to a directional manipulation of the selected point of the editable mesh.
11. The system of claim 4, wherein the analytic module modifies the editable mesh according to multiple user commands.
12. The system of claim 1, wherein the editable mesh comprises at least one member of the group consisting of a polygonal set, a b-spline surface, a bezier surface, a procedural surface, and a NURBS representation.
13. The system of claim 1, wherein the editable mesh is visually differentiated from a surrounding portion of the surface of the virtual object.
14. The system of claim 1, wherein the three-dimensional virtual object comprises a volumetric representation of an object.
15. The system of claim 14, wherein the volumetric representation is a voxel-based representation.
The claims below are in addition to those above.
All refrences to claim(s) which appear below refer to the numbering after this setence.
1. A corner structure for a tray or tray cover of the type formed from a unitary blank of paperboard, said tray or tray cover having an inside and outside surface, said corner structure having a quadrilateral main panel with right angle corners and a pair of outer side panels each having opposite side edges and inner surfaces and said outer side panels having adjacent end edges and being foldably joined along one of said side edges respectively to edges of said main panel along fold lines which intersect at a corner of the tray, said outer side panels being perpendicular to said main panel, collapsed web structure foldably joined to the adjacent end edges of said outer side panels, a pair of inner side panels having opposite edges and foldably joined respectively along one of said edges to the other of said edges of said outer side panels which are remote from said main panel, said inner side panels having adjacent end edges and one of said inner side panels having a lower corner, each of said inner side panels being disposed in flat face contacting relation with the inner surface of its associated outer side panel, one of said inner side panels being of rectangular configuration and the end edge of the other of said inner side panels being configured to define the shorter parallel side of a trapezoid and another diagonal intersecting locking edge of said trapezoid, a base flap foldably joined respectively to each of said inner side panels along a fold line at the other edge thereof which is adjacent said main panel, said base flaps having adjacent ends and being disposed in flat face contacting relation with said main panel and an end edge of the base flap which is foldably joined to said other inner side panel intersecting an end of said shorter parallel side of said trapezoid, and a locking tab of trapezoidal configuration foldably joined along a fold line having a memory to the adjacent end of the one of said base flaps which is foldably joined to said one of said inner side walls, said locking tab having a lower edge and a locking edge and being disposed in perpendicular relation to its associated base flap and with its locking edge in engagement with said locking edge of said other inner side panel, an extending tab integral with and projecting longitudinally from said adjacent end of the one of said base flaps which is foldably joined to said other inner side panel, said extending tab defining a cutaway end portion of its associated base flap which affords space into which the lower edge of the adjacent locking tab is disposed so that the memory along the tab fold line causes the tab to press against the inner surface of the adjacent outer side panel and also causes said locking edge of said locking tab securely to engage said locking edge of said other inner side panel, wherein the improvement comprises decorative paper being held in juxtaposition to the outside surface of the tray or tray cover, said paper forming a corner not supported by paperboard that extends beyond said corner formed by paperboard, said paper having a slit through the mid-section of the paper corner not supported by paperboard, so the paper can be folded with the folding of the paperboard to form a neat square corner when a tray or tray lid is formed.
2. A unitary blank of paperboard for forming a tray or tray cover, said tray or tray cover having an inside and outside surface, with a quadrilateral main panel having right angle corners, a first pair of outer side panels having opposite edges and being foldably joined along one of said edges to a first pair of opposite side edges of said main panel, a first pair of inner side panels having outer corners and opposite edges and being foldably joined respectively along one of said edges to the other of said edges of said first pair of outer side panels which are remote from said main panel, each of the outer corners of said first pair of inner side panels being configured to define cutaway areas to form an angular locking edge and a short transverse edge, a first pair of base flaps each having end edges and outer corners and being foldably joined respectively to the other of said edges of said first pair of inner side panels which are remote from said first pair of outer side panels, a second pair of outer side panels foldably joined respectively to a second pair of opposite side edges of said main panel, each of said first pair of outer side panels and of said second pair of outer side panels having opposite ends which are adjacent respectively to a corner of said main panel, a collapsible web at each corner of said main panel and foldably joined to an end of each one of said first pair of outer side panels and to an end of each one of said second pair of outer side panels, a second pair of inner side panels having opposite edges and being foldably joined respectively along one of said edges to the other of said edges of said second pair of outer side panels which are remote from said main panel, a second pair of base flaps each having opposite ends and being foldably joined respectively to the other of said edges of said second pair of inner side panels which are remote from said second pair of outer side panels, and a locking tab adjoined to each end of each of said second pair of base flaps, said cutaway area forming parts of the edges of a trapezoid and said locking tabs are of trapezoidal configuration each having a free and exposed long and a short parallel side and a third side perpendicular to said long and short sides, the shorter parallel side being spaced from the outer edge of the associated base panel and each of said locking tabs being arranged with its free and exposed longer parallel side in alignment with said edges of said second pair of inner side panels which are remote from said second outer side panels and with its third side foldably joined to the adjacent end edge of the associated one of said base flaps and each locking tab having a tab locking edge configured to match said locking edge of the adjacent cutaway area and said short parallel side being configured for engagement with said short transverse edge of one of said cutaway areas, wherein the improvement comprises decorative paper being held in jutxaposition to the outside surface of the tray or tray cover, said paper extending beyond each web corner formed by paperboard to form a square corner of paper, said paper being slit through the mid-section of each corner of the paper not supported by paperboard, so the paper can be folded with the folding of the paperboard to form a neat square corner when the blank is folded and locked into a tray or tray cover.
3. A method for folding and locking a collapsed box of paperboard with two sides and two ends from a blank having end and side panels with a web in between each side and end for forming a corner, said blank having an outside surface to which paper with a design is held in juxtaposition, said paper extending beyond each web corner of paperboard to form a square corner of paper not supported by paperboard, said method comprising forming a slit in each corner of the paper extending to the paperboard web in said corner of the blank, and folding and locking the sides and end of the blank to form the box with four square neat corners.
4. The method of claim 3 in which the blank has a quadrilateral main panel having right angle corners, a first pair of outer side panels having opposite edges and being foldably joined along one of said edges to a first pair of opposite side edges of said main panel, a first pair of inner side panels having outer corners and opposite edges and being foldably joined respectively along one of said edges to the other of said edges of said first pair of outer side panels which are remote from said main panel, each of the outer corners of said first pair of inner side panels being configured to define cutaway areas to form an angular locking edge and a short transverse edge, a first pair of base flaps each having end edges and outer corners and being foldably joined respectively to the other of said edges of said first pair of inner side panels which are remote from said first pair of outer side panels, a second pair of outer side panels foldably joined respectively to a second pair of opposite side edges of said main panel, each of said first pair of outer side panels and of said second pair of outer side panels having opposite ends which are adjacent respectively to a corner of said main panel, a collapsible web at each corner of said main panel and foldably joined to an end of each one of said first pair of outer side panels and to an end of each one of said second pair of outer side panels, a second pair of inner side panels having opposite edges and being foldably joined respectively along one of said edges to the other of said edges of said second pair of outer side panels which are remote from said main panel, a second pair of base flaps each having opposite ends and being foldably joined respectively to the other of said edges of said second pair of inner side panels which are remote from said second pair of outer side panels, and a locking tab adjoined to each end of each of said second pair of base flaps, said cutaway area forming parts of the edges of a trapezoid and said locking tabs are of trapezoidal configuration each having a free and exposed long and a short parallel side and a third side perpendicular to said long and short sides, the shorter parallel side being spaced from the outer edge of the associated base panel and each of said locking tabs being arranged with its free and exposed longer parallel side in alignment with said edges of said second pair of inner side panels which are remote from said second outer side panels and with its third side foldably joined to the adjacent end edge of the associated one of said base flaps and each locking tab having a tab locking edge configured to match said locking edge of the adjacent cutaway area and said short parallel side being configured for engagement with said short transverse edge of one of said cutaway areas.