de.grogra.vecmath.geom Interface Volume

All Known Implementing Classes:
BoundingBox, CompoundVolume, Cone, CSGComplement, CSGDifference, CSGIntersection, CSGUnion, Cube, Cylinder, EmptyVolume, Frustum, FrustumBase, HalfSpace, ImplicitVolume, MeshVolume, MyMeshVolume, OctreeUnion, SensorDisc, SimpleUnion, SkySphere, Sphere, Square, Supershape, TransformableVolume, UnionBase, VolumeBase

public interface Volume

This interface represents three dimensional geometric objects having a volume.

Author:
Ole Kniemeyer

Method Summary
boolean boxContainsBoundary(BoundingBox box, Tuple3d center, double radius, Variables temp)
Returns true if the specified box contains (part of) the boundary surface of this volume.
boolean computeIntersections(Line line, int which, IntersectionList list, Intersection excludeStart, Intersection excludeEnd)
Computes intersections between the boundary surface of this object and the specified line.
void computeNormal(Intersection is, Vector3d normal)
This method computes the unit normal vector of an intersection is which has been computed previously by the invocation of computeIntersections(de.grogra.vecmath.geom.Line, int, de.grogra.vecmath.geom.IntersectionList, de.grogra.vecmath.geom.Intersection, de.grogra.vecmath.geom.Intersection) on this volume.
void computeTangents(Intersection is, Vector3d dpdu, Vector3d dpdv)
This method computes the derivatives of the surface point (as function of the uv-coordinates, see computeUV(de.grogra.vecmath.geom.Intersection, javax.vecmath.Vector2d)) with respect to u and v at the intersection point.
void computeUV(Intersection is, Vector2d uv)
This method computes the uv-coordinates of an intersection point is which has been computed previously by the invocation of computeIntersections(de.grogra.vecmath.geom.Line, int, de.grogra.vecmath.geom.IntersectionList, de.grogra.vecmath.geom.Intersection, de.grogra.vecmath.geom.Intersection) on this volume.
boolean contains(Tuple3d point, boolean open)
Determines if the given point lies within this object.
void getExtent(Tuple3d min, Tuple3d max, Variables temp)
Computes the extent of this volume, i.e., an axis-aligned bounding box between min and max.
int getId()
Returns the id which has been set by setId(int).
Volume operator\$and(Volume v)
This operator method creates the intersection of this volume and v.
Volume operator\$com()
This operator method creates the complement of this volume.
Volume operator\$or(Volume v)
This operator method creates the union of this volume and v.
Volume operator\$sub(Volume v)
This operator method creates the difference between a and b.
void setId(int id)
Sets a unique identifier for this volume.

Method Detail

boxContainsBoundary

boolean boxContainsBoundary(BoundingBox box,
Tuple3d center,
Variables temp)
Returns true if the specified box contains (part of) the boundary surface of this volume. Otherwise, if box and boundary do not overlap, this method should return false, but may also return true if an exact computation would be too expensive or complicated.

Note that a box contains the boundary of a closed set S iff both have a non-empty intersection and the box is not contained in the open set of S.

Parameters:
box - bounding box
center - center coordinates of box
temp - has to be provided by the invoker, may be used in implementations
Returns:
true if box contains (part of) the boundary of this volume

computeIntersections

boolean computeIntersections(Line line,
int which,
IntersectionList list,
Intersection excludeStart,
Intersection excludeEnd)
Computes intersections between the boundary surface of this object and the specified line. The intersections are added to list in ascending order of distance (i.e., of Intersection.parameter), where the parameter has to lie between line.start and line.end. Implementations of this method must not clear or modify the existing intersections in list.

The parameter which has to be one of Intersection.ALL, Intersection.CLOSEST, Intersection.ANY. It determines if all intersections have to be added to the list, only the closest (minimal value of Intersection.parameter), or an arbitrary of the set of all intersections. Only in case of ALL, the return value of this method is precise.

If specific intersection points should be excluded from the list of computed intersections, they have to be specified in excludeStart and excludeEnd. The intersection point of excludeStart has to be the starting point of line, the intersection point of excludeEnd has to be the end point of line. The exclusion of intersections is a useful feature for ray-tracing, e.g., when a ray is re-emitted at an intersection point in another direction.

Parameters:
line - a line
which - one of Intersection.ALL, Intersection.CLOSEST, Intersection.ANY, this determines which intersections have to be added to list
list - the intersections are added to this list
excludeStart - intersection at start point which shall be excluded, or null
excludeEnd - intersection at end point which shall be excluded, or null
Returns:
true iff the beginning of the line lies within the volume (i.e., if the line starts within the volume or enters the volume at the starting point); however note that the returned value is valid only if which == Intersection.ALL

computeNormal

void computeNormal(Intersection is,
Vector3d normal)
This method computes the unit normal vector of an intersection is which has been computed previously by the invocation of computeIntersections(de.grogra.vecmath.geom.Line, int, de.grogra.vecmath.geom.IntersectionList, de.grogra.vecmath.geom.Intersection, de.grogra.vecmath.geom.Intersection) on this volume.

Parameters:
is - a previously computed intersection
normal - resulting unit vector is placed in here

computeTangents

void computeTangents(Intersection is,
Vector3d dpdu,
Vector3d dpdv)
This method computes the derivatives of the surface point (as function of the uv-coordinates, see computeUV(de.grogra.vecmath.geom.Intersection, javax.vecmath.Vector2d)) with respect to u and v at the intersection point.

Parameters:
is - a previously computed intersection
dpdu - resulting derivative with respect to u
dpdv - resulting derivative with respect to v

computeUV

void computeUV(Intersection is,
Vector2d uv)
This method computes the uv-coordinates of an intersection point is which has been computed previously by the invocation of computeIntersections(de.grogra.vecmath.geom.Line, int, de.grogra.vecmath.geom.IntersectionList, de.grogra.vecmath.geom.Intersection, de.grogra.vecmath.geom.Intersection) on this volume.

Parameters:
is - a previously computed intersection
uv - resulting uv-coordinates are placed in here

contains

boolean contains(Tuple3d point,
boolean open)
Determines if the given point lies within this object. If open is true, the interior of the volume is considered (the largest open set contained in the volume, i.e., excluding the boundary), otherwise the closure of the volume.

Parameters:
point - a point in global world coordinates
open - consider open or closed set
Returns:
true iff point is an element of the set

getExtent

void getExtent(Tuple3d min,
Tuple3d max,
Variables temp)
Computes the extent of this volume, i.e., an axis-aligned bounding box between min and max.

Parameters:
min - minimum coordinates of bounding box are placed in here
max - maximum coordinates of bounding box are placed in here
temp - has to be provided by the invoker, may be used in implementations

getId

int getId()
Returns the id which has been set by setId(int). Identifiers are non-negative and should be consecutive starting at zero, so that they can be used as indices into arrays which associate additional information with the volumes. Small gaps in the set of used identifiers are tolerable.

Returns:
id of this volume

operator\$and

Volume operator\$and(Volume v)
This operator method creates the intersection of this volume and v.

Parameters:
v - a volume
Returns:
the intersection of a and b
CSGIntersection

operator\$com

Volume operator\$com()
This operator method creates the complement of this volume.

Returns:
the complement of this volume
CSGComplement

operator\$or

Volume operator\$or(Volume v)
This operator method creates the union of this volume and v.

Parameters:
v - a volume
Returns:
the union of this volume and v
CSGUnion

operator\$sub

Volume operator\$sub(Volume v)
This operator method creates the difference between a and b.

Parameters:
v - the volume to be subtracted
Returns:
the difference between this volume and b