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What is Motion Field
In computer vision, the motion field is an ideal representation of motion in three-dimensional space (3D) as it is projected onto a camera image. Given a simplified camera model, each point in the image is the projection of some point in the 3D scene but the position of the projection of a fixed point in space can vary with time. The motion field can formally be defined as the time derivative of the image position of all image points given that they correspond to fixed 3D points. This means that the motion field can be represented as a function which maps image coordinates to a 2-dimensional vector. The motion field is an ideal description of the projected 3D motion in the sense that it can be formally defined but in practice it is normally only possible to determine an approximation of the motion field from the image data.
How you will benefit
(I) Insights, and validations about the following topics:
Chapter 1: Motion Field
Chapter 2: Chain Rule
Chapter 3: Curl (Mathematics)
Chapter 4: Polar Coordinate System
Chapter 5: Green's Theorem
Chapter 6: Line Element
Chapter 7: Camera Matrix
Chapter 8: Pinhole Camera Model
Chapter 9: Derivation of the Navier-Stokes Equations
Chapter 10: Relativistic Lagrangian Mechanics
(II) Answering the public top questions about motion field.
(III) Real world examples for the usage of motion field in many fields.
Who this book is for
Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Motion Field.
In computer vision, the motion field is an ideal representation of motion in three-dimensional space (3D) as it is projected onto a camera image. Given a simplified camera model, each point in the image is the projection of some point in the 3D scene but the position of the projection of a fixed point in space can vary with time. The motion field can formally be defined as the time derivative of the image position of all image points given that they correspond to fixed 3D points. This means that the motion field can be represented as a function which maps image coordinates to a 2-dimensional vector. The motion field is an ideal description of the projected 3D motion in the sense that it can be formally defined but in practice it is normally only possible to determine an approximation of the motion field from the image data.
How you will benefit
(I) Insights, and validations about the following topics:
Chapter 1: Motion Field
Chapter 2: Chain Rule
Chapter 3: Curl (Mathematics)
Chapter 4: Polar Coordinate System
Chapter 5: Green's Theorem
Chapter 6: Line Element
Chapter 7: Camera Matrix
Chapter 8: Pinhole Camera Model
Chapter 9: Derivation of the Navier-Stokes Equations
Chapter 10: Relativistic Lagrangian Mechanics
(II) Answering the public top questions about motion field.
(III) Real world examples for the usage of motion field in many fields.
Who this book is for
Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Motion Field.
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