jvx.geom
Class PnConjugate

java.lang.Object
  |
  +--jvx.geom.PnConjugate

public class PnConjugate

extends java.lang.Object

Utility class for computing the conjugate of a discrete harmonic map, and conversion between conforming and non-conforming triangulations.

Version:

16.07.99, 2.00 revised (kp) Non-conforming methods moved from PgElementSet.
00.00.99, 1.00 created (kp)

Author:

Konrad Polthier

Constructor Summary

PnConjugate()

Method Summary

static PgElementSet	conjugate(PgElementSet conj, PgElementSet surf, PgElementSet domain) Compute the conjugate surface of 'surf' and store it in 'conj' This conjugation algorithm rotates every element by 90 degrees todo: and needs no domain metric.
static PgElementSet	conjugateToFull(PgElementSet conj, PgElementSet surf, PgElementSet domain) Compute the conjugate surface of 'surf' and store it in 'conj' This conjugation algorithm rotates every element by 90 degrees todo: and needs no domain metric.
static boolean	makeConforming(PgElementSet geom) Replace the edge based representation of an elementSet by restoring the vertex based representation whose elements were saved in PgElementSet.
static boolean	makeConformingToFull(PgElementSet surf)
static boolean	makeNonConforming(PgElementSet geom) Replace the vertex based representation of an elementSet by a representation which is based on edge midpoints.

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

PnConjugate

public PnConjugate()

Method Detail

conjugate

public static PgElementSet conjugate(PgElementSet conj,
                                     PgElementSet surf,
                                     PgElementSet domain)

Compute the conjugate surface of 'surf' and store it in 'conj' This conjugation algorithm rotates every element by 90 degrees todo: and needs no domain metric. The new triangulation 'conj' is continuous at edge midpoints iff 'surf' is a discrete minimal surface.

Parameters:

PgElementSet - conj conjugate minimal surface of surf

PgElementSet - surf discrete minimal surface

PgElementSet - domain domain, if conjugation is applied to a map

Returns:

PgElementSet new conjugate surface if conj==null, else conj

conjugateToFull

public static PgElementSet conjugateToFull(PgElementSet conj,
                                           PgElementSet surf,
                                           PgElementSet domain)

Compute the conjugate surface of 'surf' and store it in 'conj' This conjugation algorithm rotates every element by 90 degrees todo: and needs no domain metric. The new triangulation 'conj' is continuous at edge midpoints iff 'surf' is a discrete minimal surface.

Parameters:

PgElementSet - conj conjugate minimal surface of surf

PgElementSet - surf discrete minimal surface

PgElementSet - domain domain, if conjugation is applied to a map

Returns:

PgElementSet new conjugate surface if conj==null, else conj

makeNonConforming

public static boolean makeNonConforming(PgElementSet geom)

Replace the vertex based representation of an elementSet by a representation which is based on edge midpoints. The original vertex based elements are saved in geometry such that they can be reconstructed in makeConforming(). The current elementSet is modified in place.

Returns:

true on success

makeConforming

public static boolean makeConforming(PgElementSet geom)

Replace the edge based representation of an elementSet by restoring the vertex based representation whose elements were saved in PgElementSet. The current elementSet is modified in place.

Returns:

true on success

makeConformingToFull

public static boolean makeConformingToFull(PgElementSet surf)