Sampling and Aliasing Ed Angel Professor Emeritus of Computer Science

Slides:

Advertisements

Similar presentations

Angel: Interactive Computer Graphics 4E © Addison-Wesley 2005 Sampling and Aliasing Ed Angel Professor of Computer Science, Electrical and Computer Engineering,

Advertisements

1 Introduction to Computer Graphics with WebGL Ed Angel Professor Emeritus of Computer Science Founding Director, Arts, Research, Technology and Science.

1 Introduction to Computer Graphics with WebGL Ed Angel Professor Emeritus of Computer Science Founding Director, Arts, Research, Technology and Science.

1 Introduction to Computer Graphics with WebGL Ed Angel Professor Emeritus of Computer Science Founding Director, Arts, Research, Technology and Science.

1 Introduction to Computer Graphics with WebGL Ed Angel Professor Emeritus of Computer Science Founding Director, Arts, Research, Technology and Science.

1 Introduction to Computer Graphics with WebGL Ed Angel Professor Emeritus of Computer Science Founding Director, Arts, Research, Technology and Science.

1 Introduction to Computer Graphics with WebGL Ed Angel Professor Emeritus of Computer Science Founding Director, Arts, Research, Technology and Science.

Introduction to Computer Graphics with WebGL

Buffers Ed Angel Professor Emeritus of Computer Science

Sampling and Aliasing Ed Angel

University of New Mexico

Buffers and texture mapping

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Image Formation Ed Angel Professor Emeritus of Computer Science,

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Reflection and Transmission

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Programming with OpenGL Part 4: Color and Attributes

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Building Models Ed Angel Professor Emeritus of Computer Science

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL

Buffers Ed Angel Professor Emeritus of Computer Science

Texture Mapping Ed Angel Professor Emeritus of Computer Science

Programming with OpenGL Part 6: Three Dimensions

Programming with OpenGL Part 4: Color and Attributes

University of New Mexico

Designing Parametric Cubic Curves

Introduction to Computer Graphics with WebGL

Marching Squares Ed Angel

Presentation transcript:

Sampling and Aliasing Ed Angel Professor Emeritus of Computer Science University of New Mexico E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

Introduction In computer graphics, we use the term “aliasing” but where does it come from? Sampling theory explains where these errors arise and what we might do to avoid them Explains both digitization and display E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

Sampling Process Measure f(x,y) on grid E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

Ambiguity from Samples E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

Basis Images E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

Sampling and Replication E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

Replication with Overlap E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

Aliasing E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

Sampling point sampling area sampling E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

Sinc function E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

Reconstruction with Sinc E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

Two dimensional sinc E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

Point Spread of CRT Beam E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

Reconstruction functions sinc rectangle triangle Gaussian E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012

Quantizer E. Angel and D. Shreiner: Interactive Computer Graphics 6E © Addison-Wesley 2012