Fundamental geometric transformation, Mechanical Engineering

Fundamental geometric transformation:

The fundamental geometric transformation is Rotation, Translations and Scaling. Other transformations involve reflection and shearing. Translation moves object in a straight line path from one position to another while rotation moves the object in a circular path around a rotation point. In scaling, dimensions of an object changes relating to a specified fixed point. Reflections are transformation that rotates an object by 180o around reflection axis to generate a mirror image of the object w.r.t. that axis. Shearing transformation distorts the object shape by shifting X or Y coordinating values. Transformation matrices may be calculated by concatenation of different matrices while we apply number of transformation to the object at a time. In the second half, different kinds of planar projections are discussed. In orthographic projections, projectors are parallel to each other and also perpendicular to view plane. Orthographic projections are further categorized as multi view or axonometric. Multi view projection displays single face of a three-dimensional object and the view plane normal is generally parallel to one of the major axis while in case of axonometric projection is not parallel to any of the major axis. Axonometric projections may be classified as diametric, trimetric or isometric. There is second category of parallel projection that means oblique projections where the angle between the projectors and view plane is no longer normal. At last, one- point, two-point and three-point perspective projections are also explained.

Posted Date: 1/24/2013 4:59:03 AM | Location : United States







Related Discussions:- Fundamental geometric transformation, Assignment Help, Ask Question on Fundamental geometric transformation, Get Answer, Expert's Help, Fundamental geometric transformation Discussions

Write discussion on Fundamental geometric transformation
Your posts are moderated
Related Questions
Technical Limitations of Extension of screw conveyor Technical Limitations: Breakdown of hinged joint at intermediate condition of link. ?Not proper extension of coaxi


How is rending stress designed in plain concrete footing? Rending Stresses Also design the plain concrete footing based on bending moment and shear considerations. In wall f

Q. Application of hot service insulation? Provision for the expansion of hot equipment shall include the installation of expansion springs in circumferential banding securing i

Determine time required to stop the automobile: A 20KN automobile is moving at speed of 70Kmph when brakes are fully applied causing all the four wheels to skid. Determine ti

In a steam jet refrigeration system, the ejector extracts 3.3 m3/s of saturated water vapor at a temperature of 7.2 °C from the flash chamber. The return water from the cooling coi

Find the maximum shear stress at free end: A stepped shaft ABCD, with A is fixed end and D is free end. AB = 1 m, BC = 2 m, CD = 1 m. AB is a hollow shaft of 100 mm outer diam

The Make Group of Euler Operators The Make group consists of four operators for adding some elements into the existing model creating a new one, and a Make-Kill operator for ad

how is varignons theorem useful in engineering mechanics

Use of Auger extension for extended screed An improved extended auger arrangement and an improved asphalt paver with a tractor unit and a screed assembly including a main scree