Surface simplification and refinement

Details

gts_surface_refine ()

void        gts_surface_refine              (GtsSurface *surface,
                                             GtsKeyFunc cost_func,
                                             gpointer cost_data,
                                             GtsRefineFunc refine_func,
                                             gpointer refine_data,
                                             GtsStopFunc stop_func,
                                             gpointer stop_data);

Refine surface using a midvertex insertion technique. All the edges of surface are ordered according to cost_func. The edges are then processed in order until stop_func returns TRUE. Each edge is split in two and new edges and faces are created.

If cost_func is set to NULL, the edges are sorted according to their length squared (the longest is on top).

If refine_func is set to NULL gts_segment_midvertex() is used.

`surface` :	a GtsSurface.
`cost_func` :	a function returning the cost for a given edge.
`cost_data` :	user data to be passed to `cost_func`.
`refine_func` :	a GtsRefineFunc.
`refine_data` :	user data to be passed to `refine_func`.
`stop_func` :	a GtsStopFunc.
`stop_data` :	user data to be passed to `stop_func`.

GtsCoarsenFunc ()

GtsVertex*  (*GtsCoarsenFunc)               (GtsEdge *e,
                                             GtsVertexClass *klass,
                                             gpointer data);

User-defined function taking an edge e and returning a replacement vertex of class klass.

`e` :	a GtsEdge.
`klass` :	the GtsVertexClass of the replacement vertex.
`data` :	user data passed to the function.
Returns :	a replacement vertex of class `klass`.

GtsRefineFunc ()

GtsVertex*  (*GtsRefineFunc)                (GtsEdge *e,
                                             GtsVertexClass *klass,
                                             gpointer data);

`e` :
`klass` :
`data` :
Returns :

GtsStopFunc ()

gboolean    (*GtsStopFunc)                  (gdouble cost,
                                             guint nedge,
                                             gpointer data);

User-defined function used to stop the coarsening process.

`cost` :	the cost of collapse of the current edge.
`nedge` :	the number of edges of the surface after collapse of the current edge.
`data` :	user data passed to the function.
Returns :	`TRUE` if the collapse of the current edge is not to take place, `FALSE` otherwise.

gts_surface_coarsen ()

void        gts_surface_coarsen             (GtsSurface *surface,
                                             GtsKeyFunc cost_func,
                                             gpointer cost_data,
                                             GtsCoarsenFunc coarsen_func,
                                             gpointer coarsen_data,
                                             GtsStopFunc stop_func,
                                             gpointer stop_data,
                                             gdouble minangle);

The edges of surface are sorted according to cost_func to create a priority heap (a GtsEHeap). The edges are extracted in turn from the top of the heap and collapsed (i.e. the vertices are replaced by the vertex returned by the coarsen_func function) until the stop_func functions returns TRUE.

If cost_func is set to NULL, the edges are sorted according to their length squared (the shortest is on top).

If coarsen_func is set to NULL gts_segment_midvertex() is used.

The minimum angle is used to avoid introducing faces which would be folded.

`surface` :	a GtsSurface.
`cost_func` :	a function returning the cost for a given edge.
`cost_data` :	user data to be passed to `cost_func`.
`coarsen_func` :	a GtsCoarsenVertexFunc.
`coarsen_data` :	user data to be passed to `coarsen_func`.
`stop_func` :	a GtsStopFunc.
`stop_data` :	user data to be passed to `stop_func`.
`minangle` :	minimum angle between two neighboring triangles.

gts_coarsen_stop_number ()

gboolean    gts_coarsen_stop_number         (gdouble cost,
                                             guint nedge,
                                             guint *min_number);

This function is to be used as the stop_func argument of gts_surface_coarsen() or gts_psurface_new().

`cost` :	the cost of the edge collapse considered.
`nedge` :	the current number of edges of the surface being simplified.
`min_number` :	a pointer to the minimum number of edges desired for the surface being simplified.
Returns :	`TRUE` if the edge collapse would create a surface with a smaller number of edges than given by `min_number`, `FALSE` otherwise.

gts_coarsen_stop_cost ()

gboolean    gts_coarsen_stop_cost           (gdouble cost,
                                             guint nedge,
                                             gdouble *max_cost);

This function is to be used as the stop_func argument of gts_surface_coarsen() or gts_psurface_new().

`cost` :	the cost of the edge collapse considered.
`nedge` :	the current number of edges of the surface being simplified.
`max_cost` :	a pointer to the maximum cost allowed for an edge collapse.
Returns :	`TRUE` if the cost of the edge collapse considered is larger than given by `max_cost`, `FALSE` otherwise.

GtsVolumeOptimizedParams

typedef struct {
  gdouble volume_weight;
  gdouble boundary_weight;
  gdouble shape_weight;
} GtsVolumeOptimizedParams;

The parameters for the volume optimization algorithm of Lindstrom and Turk. THey define the relative weight of the volume, boundary and shape optimization part of the algorithm. Lindstrom and Turk advice is to set them to 0.5, 0.5 and 0. You may want to experiment depending on your problem. Setting shape_weight to a very small value (1e-10) for example might help improve the quality of the resulting triangulation.

gdouble `volume_weight`;	Weight of the volume optimization.
gdouble `boundary_weight`;	Weight of the boundary optimization.
gdouble `shape_weight`;	Weight of the shape optimization.

gts_volume_optimized_vertex ()

GtsVertex*  gts_volume_optimized_vertex     (GtsEdge *edge,
                                             GtsVertexClass *klass,
                                             GtsVolumeOptimizedParams *params);

`edge` :	a GtsEdge.
`klass` :	a GtsVertexClass to be used for the new vertex.
`params` :	a GtsVolumeOptimizedParms.
Returns :	a GtsVertex which can be used to replace `edge` for an edge collapse operation. The position of the vertex is optimized in order to minimize the changes in area and volume for the surface using `edge`. The volume enclosed by the surface is locally preserved. For more details see "Fast and memory efficient polygonal simplification" (1998) and "Evaluation of memoryless simplification" (1999) by Lindstrom and Turk.

gts_volume_optimized_cost ()

gdouble     gts_volume_optimized_cost       (GtsEdge *e,
                                             GtsVolumeOptimizedParams *params);

`e` :	a GtsEdge.
`params` :	a GtsVolumeOptimizedParams.
Returns :	the cost for the collapse of `e` as minimized by the function `gts_volume_optimized_vertex()`.

gts_edge_collapse_is_valid ()

gboolean    gts_edge_collapse_is_valid      (GtsEdge *e);

An implementation of the topological constraints described in the "Mesh Optimization" article of Hoppe et al (1993).

`e` :	a GtsEdge.
Returns :	`TRUE` if `e` can be collapsed without violation of the topological constraints, `FALSE` otherwise.

gts_edge_collapse_creates_fold ()

gboolean    gts_edge_collapse_creates_fold  (GtsEdge *e,
                                             GtsVertex *v,
                                             gdouble max);

`e` :	a GtsEdge.
`v` :	a GtsVertex.
`max` :	the maximum value of the square of the cosine of the angle between two triangles.
Returns :	`TRUE` if collapsing edge `e` to vertex `v` would create faces making an angle the cosine squared of which would be larger than max, `FALSE` otherwise.