Table of Contents

Contents

Preface xv

1 INTRODUCTION

1.1 Example Files

1.1.1 Compiling Example Plug-ins
1.1.2 Sourcing Example MEL Scripts

1.2 Executing MEL Code in the Script Editor

2 POINTS

2.1 Dimensions
2.2 Cartesian Coordinates
2.3 Homogeneous Coordinates
2.4 Polar and Spherical Coordinates
2.5 Conversions

2.5.1 Cartesian to Homogeneous
2.5.2 Homogeneous to Cartesian
2.5.3 Cartesian to Polar
2.5.4 Polar to Cartesian
2.5.5 Cartesian to Spherical
2.5.6 Spherical to Cartesian

2.6 MEL
2.7 C++ API
2.8 Locators

3 VECTORS

3.1 MEL
3.2 C++ API
3.3 Adding
3.4 Subtracting
3.5 Scaling
3.6 Length

3.6.1 MEL
3.6.2 C++ API

3.7 Distance Between Points

3.7.1 MEL
3.7.2 C++ API

3.8 Normalizing Vectors

3.8.1 MEL
3.8.2 C++ API

3.9 Dot Product

3.9.1 Angle Between
3.9.2 Length Squared
3.9.3 Perpendicular Projection

3.10 Cross Product

3.10.1 Perpendicular Vector
3.10.2 Area of Triangle

3.11 Points Versus Vectors

4 ROTATIONS

4.1 Angles

4.1.1 MEL
4.1.2 C++ API

4.2 Rotations
4.3 Orientation Representations

4.3.1 Euler Angles
4.3.2 Quaternions

5 TRANSFORMATIONS

5.1 Matrices

5.1.1 Matrix Multiplication
5.1.2 Matrix Transpose
5.1.3 Identity Matrix
5.1.4 Inverse Matrix
5.1.5 MEL
5.1.6 C++ API

5.2 Transforming Points

5.2.1 MEL
5.2.2 C++ API

5.3 Transforming Vectors

5.3.1 MEL
5.3.2 C++ API

5.4 Transforming Normals

5.4.1 MEL
5.4.2 C++ API

6 TRANSFORM NODES

6.1 Pivot Points
6.2 Transformation Matrices

6.2.1 Querying Transformation Matrices
6.2.2 Editing Transformation Matrices

6.3 Hierarchies of Transformations

6.3.1 Transformation Spaces
6.3.2 MEL
6.3.3 C++ API

7 COORDINATE FRAMES

7.1 Up Axis

7.1.1 MEL
7.1.2 C++ API

7.2 Handedness
7.3 Custom Coordinate Frames

7.3.1 C++ API

8 POLYGONAL MESHES

8.1 Displaying Meshes

8.1.1 General
8.1.2 Components
8.1.3 Normals
8.1.4 Back-face Culling
8.1.5 UV Texture Coordinates
8.1.6 Vertex Colors
8.1.7 Nonplanar Faces

8.2 Querying Meshes

8.2.1 Vertices
8.2.2 Edges
8.2.3 Polygons
8.2.4 Face Vertices
8.2.5 Normals
8.2.6 UV Texture Coordinates
8.2.7 Blind Data

8.3 Creating Meshes

8.3.1 Problematic Meshes
8.3.2 Creation Checks
8.3.3 Molecule1 Plug-in
8.3.4 Molecule2 Plug-in
8.3.5 Molecule3 Plug-in
8.3.6 Molecule4 Plug-in

8.4 Editing Meshes

8.4.1 Construction History
8.4.2 Supporting Construction History
8.4.3 Supporting Tweaks
8.4.4 Mesh-editing Framework
8.4.5 DisplaceMesh Plug-in

9 NURBS

9.1 Concepts

9.1.1 Control Vertex (CV)
9.1.2 Hull
9.1.3 Span
9.1.4 Degree
9.1.5 Order
9.1.6 Edit Points
9.1.7 Curve Point
9.1.8 Parameterization
9.1.9 Knots
9.1.10 Form
9.1.11 Surface Point
9.1.12 Surface Isoparms
9.1.13 Surface Patches
9.1.14 Surface Curves
9.1.15 Trimmed Surfaces

9.2 NURBS Curves

9.2.1 Displaying Curves
9.2.2 Querying Curves
9.2.3 Creating Curves
9.2.4 Editing Curves

9.3 NURBS Surfaces

9.3.1 Displaying Surfaces
9.3.2 Querying Surfaces
9.3.3 Creating Surfaces
9.3.4 Editing Surfaces

10 SUBDIVISION SURFACES

10.1 Concepts

10.1.1 Control Mesh
10.1.2 Subdivision
10.1.3 Limit Surface
10.1.4 Creases
10.1.5 Hierarchical Subdivisions
10.1.6 Ordinary and Extraordinary Points
10.1.7 Subdivision Scheme

10.2 Displaying Subdivision Surfaces
10.3 Querying Subdivision Surfaces

10.3.1 Components
10.3.2 Creases
10.3.3 UV Texture Coordinates
10.3.4 MEL
10.3.5 C++ API

10.4 Creating and Converting Subdivision Surfaces

10.4.1 Polygonal Mesh to Subdivision Surface
10.4.2 Subdivision Surface to Polygonal Mesh
10.4.3 NURBS Surface to Subdivision Surface
10.4.4 Subdivision Surface to NURBS Surface
10.5 Editing Subdivision Surfaces
10.5.1 MEL

11 CONTEXTS (TOOLS)

11.1 SelectRingContext1 Plug-in

11.1.1 Usage

11.2 SelectRingContext2 Plug-in

11.2.1 Installation
11.2.2 Usage

11.3 SelectVolumeContext1 Plug-in

11.3.1 Installation
11.3.2 Usage

A FURTHER LEARNING

A.1 Online Resources

A.1.1 Companion Web Site
A.1.2 Additional Web Sites

A.2 Maya Application

A.2.1 Documentation
A.2.2 Examples

B FURTHER READING

B.1 Mathematics
B.2 Programming

B.2.1 General
B.2.2 C++ Language

B.3 Computer Graphics

B.3.1 General
B.3.2 Modeling
B.3.3 Animation
B.3.4 Image Synthesis

Glossary
Index