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Object space refers to the coordinate system in which objects are defined, typically before any transformations such as translation, rotation, or scaling are applied. It serves as the foundational reference frame for 3D modeling and rendering processes, allowing for precise manipulation and understanding of an object's geometry and orientation relative to itself.
A coordinate system is a method used to uniquely determine the position of a point or other geometric element in a space of given dimensions by using ordered numbers called coordinates. These systems are essential in fields like mathematics, physics, and engineering for mapping, navigation, and spatial analysis.
3D modeling is the process of creating a mathematical representation of a three-dimensional object or shape using specialized software. It is a fundamental step in various fields such as animation, gaming, virtual reality, and industrial design, enabling the visualization and simulation of real-world objects in a digital environment.
A transformation matrix is a mathematical tool used to perform linear transformations on vectors in a given space, such as scaling, rotating, or translating them. It is fundamental in computer graphics, physics simulations, and engineering applications for manipulating spatial data efficiently and consistently.
Translation is the process of converting text or speech from one language into another, ensuring that the meaning and context are preserved. It requires a deep understanding of both the source and target languages, as well as cultural nuances and idiomatic expressions.
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Rotation refers to the circular movement of an object around a center or an axis. This fundamental concept is pivotal in various fields, including physics, engineering, and mathematics, where it describes phenomena ranging from the Earth's rotation to the angular momentum of particles.
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Scaling refers to the process of expanding or contracting a system, process, or model to accommodate changes in size, demand, or complexity while maintaining performance and efficiency. It is crucial in diverse fields like business, technology, and science to ensure sustainability and adaptability in dynamic environments.
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Rendering is the process of generating a photorealistic or non-photorealistic image from a 2D or 3D model using computer programs. It is a crucial step in fields like computer graphics, animation, and video games, where it transforms complex data into visually comprehensible images.
A local coordinate system is a coordinate system that is defined in relation to a specific point or object, often used to simplify calculations or transformations within a localized context. It allows for easier manipulation of objects in a scene by providing a reference frame that moves and rotates with the object itself.

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Geometry is a branch of mathematics concerned with the properties and relationships of points, lines, surfaces, and shapes in space. It encompasses various subfields that explore dimensions, transformations, and theorems to understand and solve spatial problems.
A vertex shader is a programmable processing unit in a graphics pipeline that handles the transformation and lighting of vertices, allowing for dynamic and complex 3D rendering effects. It is the first stage of the graphics pipeline where each vertex's position is transformed from object space to screen space, and additional per-vertex data like color and texture coordinates are processed.
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