Co-ordinate grids for three-dimensional facial measurements

Related Experiment Video

Updated: Oct 8, 2026

Measuring the Complete-arch Distortion of an Optical Dental Impression
06:51

Measuring the Complete-arch Distortion of an Optical Dental Impression

Published on: May 30, 2019

J W Ferguson

    British Journal of Orthodontics
    |July 1, 1983
    PubMed

    More Related Videos

    Three-Dimensional Cephalometric Landmark Annotation Demonstration on Human Cone Beam Computed Tomography Scans10:23

    Three-Dimensional Cephalometric Landmark Annotation Demonstration on Human Cone Beam Computed Tomography Scans

    Published on: September 8, 2023

    Quantitative Assessment Protocol for Facial Soft Tissue Volumetric Changes with Stereophotogrammetry06:26

    Quantitative Assessment Protocol for Facial Soft Tissue Volumetric Changes with Stereophotogrammetry

    Published on: December 9, 2025

    Related Concept Videos

    Polar and Cylindrical Coordinates01:22

    Polar and Cylindrical Coordinates

    The Cartesian coordinate system is a very convenient tool to use when describing the displacements and velocities of objects and the forces acting on them. However, it becomes cumbersome when we need to describe the rotation of objects. So, when describing rotation, the polar coordinate system is generally used.
    Spherical Coordinates01:23

    Spherical Coordinates

    Spherical coordinate systems are preferred over Cartesian, polar, or cylindrical coordinates for systems with spherical symmetry. For example, to describe the surface of a sphere, Cartesian coordinates require all three coordinates. On the other hand, the spherical coordinate system requires only one parameter: the sphere's radius. As a result, the complicated mathematical calculations become simple. Spherical coordinates are used in science and engineering applications like electric and...
    Coordinate Plane01:21

    Coordinate Plane

    The Cartesian coordinate plane is a fundamental structure in mathematics that enables the visualization of relationships between numerical values in two dimensions. It is formed by two intersecting number lines: a horizontal x-axis and a vertical y-axis. These axes meet at the origin, the point where both values are zero. Their intersection divides the plane into four quadrants labeled in a counterclockwise direction starting from the upper right.An ordered pair of numbers represents every...
    Polar Coordinate System01:30

    Polar Coordinate System

    The polar coordinate system provides a natural way to describe points in the plane when distances and directions are more meaningful than horizontal and vertical displacements. It is especially useful for modeling non-rectangular regions such as circles and spirals, where symmetry about a center point is easier to express than it is in a rectangular grid. A familiar example is a ship’s plan position indicator, which marks detected targets as dots positioned relative to the ship at the display’s...
    Cylinders in Three-Dimensional Space01:28

    Cylinders in Three-Dimensional Space

    A cylindrical surface is generated when a two-dimensional profile curve is translated along a straight line in three-dimensional space. The translated copies of the curve form a surface composed of parallel rulings, each oriented in the same fixed direction. This construction allows many three-dimensional forms to be described using relatively simple planar equations.In Cartesian coordinates, a cylindrical surface is often recognized by an equation that omits one of the three variables. For...
    Parametric Surfaces01:30

    Parametric Surfaces

    A parametric surface in three-dimensional space is defined through a vector-valued function\begin{equation*}\mathbf{r}(u, v) = x(u, v)\mathbf{i} + y(u, v)\mathbf{j} + z(u, v)\mathbf{k}\end{equation*}where u and v are parameters within a specified domain D in the uv-plane. The functions x(u, v), y(u, v), and z(u, v) define the coordinates of points on the surface. As u and v vary over D, the position vector r(u, v) traces a continuous surface in space. This parametric representation is essential...