affined transformation

简明释义

仿射变换;

英英释义

例句

1.In robotics, an affined transformation 仿射变换 is essential for mapping the robot's movements in a coordinate system.

在机器人技术中，affined transformation 仿射变换 对于在坐标系统中映射机器人的运动至关重要。

2.The affined transformation 仿射变换 allows for the preservation of parallel lines in geometric figures.

该 affined transformation 仿射变换 允许在几何图形中保持平行线的特性。

3.In computer graphics, an affined transformation 仿射变换 is used to manipulate images by scaling, rotating, and translating them.

在计算机图形学中，affined transformation 仿射变换 用于通过缩放、旋转和移动来处理图像。

4.An affined transformation 仿射变换 can be represented using a matrix multiplication, making it efficient for computations.

一个 affined transformation 仿射变换 可以通过矩阵乘法表示，从而使计算更高效。

5.To align the images, we applied an affined transformation 仿射变换 that adjusted their orientation and size.

为了对齐图像，我们应用了一种 affined transformation 仿射变换，调整了它们的方向和大小。

作文

In the realm of computer graphics and image processing, the concept of affined transformation plays a crucial role in manipulating and transforming images. An affined transformation is a linear mapping method that preserves points, straight lines, and planes. It encompasses various operations such as translation, scaling, rotation, and shearing, which are fundamental for creating visually appealing graphics and animations. Understanding this transformation is essential for anyone involved in design or programming, as it allows for the effective manipulation of visual information.To delve deeper into what an affined transformation entails, one must first recognize its mathematical foundation. In essence, an affined transformation can be represented using matrix multiplication, where a point in space is transformed by multiplying it with a transformation matrix. This matrix contains coefficients that dictate how the transformation will affect the point's position. For instance, a simple translation can be achieved by adding a vector to the original point coordinates, while scaling involves multiplying the coordinates by a fixed value.The beauty of affined transformation lies in its versatility. For example, when creating a graphic design, one might want to resize an object while maintaining its proportions. By applying a uniform scaling transformation, the designer can achieve this effect seamlessly. Similarly, rotating an image around a specific point can be accomplished using the appropriate transformation matrix, ensuring that the image maintains its shape and orientation.Moreover, affined transformation is not limited to two-dimensional graphics; it extends into three-dimensional spaces as well. In 3D modeling, transformations are applied to objects to position them accurately within a scene. This includes moving objects closer or further away from the viewer, rotating them around axes, or even skewing their dimensions to create a more dynamic appearance. The application of these transformations is vital in fields such as animation, virtual reality, and game development, where realistic representations of objects are paramount.One of the key advantages of affined transformation is its computational efficiency. Since these transformations can be represented using matrices, they can be computed quickly and easily, making them suitable for real-time applications. For instance, in video games, where numerous objects may need to be transformed simultaneously, the ability to apply affined transformation efficiently ensures smooth performance and enhances the user experience.In conclusion, the concept of affined transformation is integral to the fields of computer graphics and image processing. Its ability to manipulate images through translation, scaling, rotation, and shearing makes it an invaluable tool for designers and developers alike. By understanding the principles behind affined transformation, individuals can harness its power to create stunning visuals and interactive experiences. As technology continues to advance, the applications of affined transformation will undoubtedly expand, solidifying its importance in the digital landscape.

在计算机图形学和图像处理领域，仿射变换的概念在操控和转换图像中起着至关重要的作用。仿射变换是一种线性映射方法，能够保持点、直线和平面。它包含了各种操作，如平移、缩放、旋转和剪切，这些都是创建视觉吸引力图形和动画的基础。理解这一变换对于任何涉及设计或编程的人来说都是必不可少的，因为它允许有效地操控视觉信息。要深入了解仿射变换的含义，首先必须认识到其数学基础。本质上，仿射变换可以通过矩阵乘法来表示，其中空间中的一个点通过与变换矩阵相乘而被转换。这个矩阵包含了决定变换如何影响点位置的系数。例如，通过将一个向量添加到原始点坐标，可以实现简单的平移，而缩放则涉及将坐标乘以一个固定值。仿射变换的美在于其多样性。例如，在创建图形设计时，设计师可能希望在保持比例的情况下调整对象的大小。通过应用均匀缩放变换，设计师可以无缝地实现这一效果。同样，围绕特定点旋转图像也可以通过使用适当的变换矩阵来完成，从而确保图像保持其形状和方向。此外，仿射变换不仅限于二维图形；它还扩展到三维空间。在3D建模中，变换被应用于对象，以便在场景中准确定位。这包括将对象移动得更近或更远离观察者，围绕轴旋转，甚至扭曲其维度以创造更动态的外观。这些变换的应用在动画、虚拟现实和游戏开发等领域至关重要，其中对象的真实表现至关重要。仿射变换的一个主要优点是其计算效率。由于这些变换可以用矩阵表示，因此它们可以快速且轻松地计算，非常适合实时应用。例如，在视频游戏中，可能需要同时转换多个对象，能够高效地应用仿射变换确保了流畅的性能，并增强了用户体验。总之，仿射变换的概念是计算机图形学和图像处理领域的重要组成部分。它通过平移、缩放、旋转和剪切来操控图像，使其成为设计师和开发者不可或缺的工具。通过理解仿射变换背后的原理，个人可以利用其力量创造出惊人的视觉效果和互动体验。随着技术的不断进步，仿射变换的应用无疑会扩大，巩固其在数字领域的重要性。