from the research i have done into the Jacobian matrices shader method i can say that the method works by effecting the y value of the object being deformed. This causes a ripple effect in the object of choice dependent in the coefficient between the distance of the values and the height of which the ripple is suppose to be.
This method could work to my advantage by allowing the surface to be easily manipulated with a few equations. While this could be easy for a flat surface it maybe problematic for a spheroid which is to be used. This could be fixed by making the program work with a flat surface of the spheroid when calculating the changes in the surface and then changed with further equations so that the object is drawn as a spheroid instead of a flat surface. The method would also need to be changed so that the ripples act in a negative fashion instead of a positive so that the object is affected by pressure on it and not continuously create ripple effects on the surface but is affected by user interaction. which means that the depth and length of the dip created needs to be affected by the amount of pressure placed on the object.
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