We present a technique for the illustrative rendering of 3D line data at interactive frame rates. We create depth-dependent halos around lines to emphasize tight line bundles while less structured lines are de-emphasized. Moreover, the depth-dependent halos combined with depth cueing via line width attenuation increase depth perception, extending techniques from sparse line rendering to the ill...

In this contribution, a new approach for teaching digital controllers for finite settling time and deadbeat response is proposed. Essential concepts of deadbeat control are revised and shorted in order to simplify the teaching. The approach is base on a constructivist instructional model, which is supported by wellknown pedagogical tools as the learning cycle, the sandwich structure and the por...

Endovascular techniques are gaining wider acceptance in the treatment of intracranial lesions. Tortuous vasculature is a common reason for failure to treat an intracranial lesion, especially when balloon catheters or stents are used. In these cases, the guiding catheter often buckles into the aorta during an attempt to place the balloon or stent. In our experience, a stiff wire can be used to s...

This study outlines the local fractional integro-differential equations carried out by the local fractional calculus. The analytical solutions within local fractional Volterra and Abel’s integral equations via the Yang-Laplace transform are discussed. Some illustrative examples will be discussed. The obtained results show the simplicity and efficiency of the present technique with application t...

Peter Henrici coined the term “algorithmic mathematics” and “dialectic mathematics” in a 1973 talk. I will borrow these two terms and attempt to synthesize the two aspects from a pedagogical viewpoint with illustrative examples gleaned from mathematical developments in Eastern and Western cultures throughout history. Some examples from my teaching experience in the classroom will also be given.