In this dissertation, we investigate methods of modifying a tight frame sequence on a finite subset of the frame so that the result is a tight frame with better properties. We call this a surgery on the frame. There are basically three types of surgeries: transplants, expansions, and contractions. In this dissertation, it will be necessary to consider surgeries on not-necessarily-tight frames because the subsets of frames that are excised and replaced are usually not themselves tight frames on their spans, even if the initial frame and the final frame are tight. This makes the theory necessarily complicated, and richer than one might expect. Chapter I is devoted to an introduction to frame theory. In Chapter II, we investigate conditions under which expansion, contraction, and transplant problems have a solution. In particular, we consider the equiangular replacement problem. We show that we can always replace a set of three unit vectors with a set of three complex unit equiangular vectors which has the same Bessel operator as the Bessel operator of the original set. We show that this can not always be done if we require the replacement vectors to be real, even if the original vectors are real. We also prove that the minimum angle between pairs of vectors in the replacement set becomes largest when the replacement set is equiangular. Iterating this procedure can yield a frame with smaller maximal frame correlation than the original. Frames with optimal maximal frame correlation are called Grassmannian frames and no general method is known at the present time for constructing them. Addressing this, in Chapter III we introduce a spreading algorithm for finite unit tight frames by replacing vectors three-at-a-time to produce a unit tight frame with better maximal frame correlation than the original frame. This algorithm also provides a "good" orientation for the replacement sets. The orientation part ensures stability in the sense that if a selected set of three unit vectors happens to already be equiangular, then the algorithm gives back the same three vectors in the original order. In chapter IV and chapter V, we investigate two special classes of frames called push-out frames and group frames. Chapter VI is devoted to some mathematical problems related to the "cocktail party problem."

An illustrative and in-depth overview of the many available applications and techniques for limb lengthening and reconstruction, this guide provides step-by-step details on the latest surgical procedures for the correction of limb deformities due to congenital defects, growth disturbances, infection, and trauma in both children and adults. Supplyin

Surgical patients are increasingly undergoing operative proceduresthat require complex post-operative care followed by prolongedrehabilitation in the community, and few leave surgery without awound, tube, line or drain. The care of these surgical adjuncts isundertaken either in hospital by ward staff or away from thehospital in the community, where GPs and practice nurses areexpected to take over the day-to-day management of this care. The ABC of Tubes, Drains, Lines and Frames is a practicalguide that provides a clear account of the key issues involved inthe assessment and management of surgical wounds, tubes, drains,lines and stomas – from the operating theatre to the CriticalCare unit and from the ward into the community. It highlightscommon pitfalls and includes ‘trouble shooting’sections that provide an understanding of the issues at all stagesof post-operative care. This new ABC is an invaluable resource for all GPs,practice nurses, surgical nurses, junior doctors, and communityparamedics.

Computer-assisted techniques in the surgery of the facial skeleton including the skull base are depicted for the very first time in this atlas of navigational surgery. Experienced surgeons as well as trainees will benefit from the detailed and well-illustrated information on the use of computer technology in clinical routine, accompanied by the experimental basis of intraoperative accuracy. New methods of non-invasive referencing and the use of virtual models in the field of oral and cranio-maxillofacial surgery are demonstrated. Clinical cases illustrate the practical use of this new technique.

An indispensable, single-volume resource on state-of-the-art epilepsy procedures from renowned international experts! Epilepsy is a common neurological disorder affecting an estimated 1% of the population, about 20 to 30% of which experience seizures inadequately controlled by medical therapy alone. Advances in anatomic and functional imaging modalities, stereotaxy, and the integration of neuronavigation during surgery have led to cutting-edge treatment options for patients with medically refractory epilepsy. Operative Techniques in Epilepsy Surgery, Second Edition by Gordon Baltuch, Arthur Cukiert, and an impressive international group of contributors has been updated and expanded, reflecting the newest treatments for pediatric and adult epilepsy. Seven sections with 30 chapters encompass surgical planning, invasive EEG studies, cortical resection, intraoperative mapping, disconnection, neuromodulation, and further topics. Twelve cortical resection chapters cover surgical approaches such as amygdalohippocampectomy; hippocampal transection; frontal lobe, central region, and posterior quadrant resections; and microsurgery versus endoscopy for hypothalamic hamartomas. Disconnection procedures discussed in section five include corpus callosotomy, hemispherectomy, and endoscopic-assisted approaches. Well-established procedures such as vagus nerve and deep brain stimulation are covered in the neuromodulation section, while the last section discusses radiosurgery for medically intractable cases. Key Highlights Chapters new to this edition include endoscopic callosotomy, laser-induced thermal therapy (LITT), and focused ultrasound High-quality illustrations, superb operative and cadaver photographs, radiologic images, and tables enhance understanding of impacted anatomy and specific techniques The addition of videos provides insightful step-by-step procedural guidance This is an essential reference for fellows and residents interested in epilepsy and functional neurosurgery, and an ideal overview for neurosurgeons, neurologists, and neuroradiologists in early career stages who wish to pursue this subspecialty.

The 3rd edition of this classic textbook continues to serve as a one-stop resource for authoritative information on all aspects of small animal surgery. Coverage includes basic procedures such as spays, castrations, and declaws, as well as more advanced surgeries that might be referred to specialists such as craniotomy, ventral slots, and lung lobectomy. Discussions of general surgical procedures include sterile technique, surgical instrumentation, suturing, preoperative care, and antibiotic use. Key sections provide clinically relevant coverage of soft tissue surgery, orthopedic surgery, and neurosurgery. Over 1500 full color illustrations provide exceptionally clear representations of anatomy and currently accepted surgical techniques, including approaches and closure. Over 600 full color photographs and radiographs offer clear images of specific disorders, diseases, and procedures. Information on the most efficient and cost-saving sterilization techniques including scrubless and waterless preparation solutions. General considerations and clinically relevant pathophysiology sections provide practical information for case management. Step-by-step instructions for surgical techniques are presented in italicized blue type for quick and easy reference. Special icons identify advanced procedures that should be referred to an experienced surgeon or specialist. Color-coded tables and boxes call attention to specific data, offering at-a-glance access to key information such as drug dosages, clinical signs, and analgesic protocols. Anesthesia Protocols provide quick and easy access to recommendations for anesthetizing animals with particular diseases or disorders. A new chapter on Fundamentals of Physical Rehabilitation details the basics of physical rehabilitation for practitioners who want to integrate physical therapy into practice. A new chapter on Principles of Minimally Invasive Surgery that describes the principles of performing surgery with the least instrumentation possible, including instrument selection and care and basic techniques. A new chapter on Surgery of the Eye that discusses diseases and disorders of the eye, their medical management, and corrective surgical procedures. Expanded coverage of perioperative multimodal analgesic therapy. Updated coverage of arthroscopy, canine elbow dysplasia, joint replacement, and management of osteoarthritis. The latest information on state-of-the-art radiologic techniques.

This manual has been compiled in response to the rapid expansion of instrumented spinal surgery using minimally invasive and non-fusion techniques, with a view to meeting the needs of spinal surgeons (orthopaedic and neurosurgeons). The various open, less invasive, and minimally invasive techniques are presented step by step in a clear and instructive way with the aid of more than 600 high-quality illustrations. Careful attention is paid to all aspects vital to the success of any spinal operation: precise definition of indications and contraindications, technical and organizational factors, good operating technique, and correct preoperative preparation and positioning of the patient. This second edition of the manual takes full account of the latest developments in spinal instrumentation and implants and new surgical techniques. It is authoritative, concise, and portable – ideal for use in a fast-paced clinical setting – and will serve as a daily companion for spinal surgeons and others who care for patients with spinal disorders.

This two-volume masterwork offers explicit guidelines for evaluating patients, selecting the right operation, and implementing clinically proven procedures. It covers major topics relevant to the field such as oncology, ophthalmology, dentistry, the nervous system, the urinary and reproductive systems, and more. The up-to-date 3rd edition features an increased emphasis on decision-making algorithms and high-quality images that depict relevant anatomy, diagnostic features, and sequential steps in operative procedures. Expanded, detailed coverage assists the reader with learning and applying the latest surgical techniques. Contributors from three different continents and 17 countries, outstanding in their fields, lend a global perspective to the work. Extensive, high-quality illustrations aid the reader in clear visualization of techniques, instrumentation, and diagnosis. References for each chapter direct the reader to further sources of information. An appendix of normal laboratory values for the dog and cat put this essential information within easy reach. A cardiopulmonary resuscitation algorithm is printed on the inside front cover for quick and easy reference. A quick guide to evaluation and initial stabilization of life-threatening cardiopulmonary complications is printed on the inside back cover for immediate access to crucial information. The section on critical care has been expanded to include more complete information. 10 new section editors and 146 new contributors bring new insight to topics in their areas of expertise. 38 new chapters, including a chapter on arthroscopy, reflect current knowledge and advances. Detailed coverage of surgery techniques present explicit, easy-to-follow guidelines and procedures. An increased emphasis on decision-making algorithms makes the book even more clinically useful. Each chapter has been thoroughly revised, providing the most comprehensive scope of coverage for each topic.

Handbook of Robotic and Image-Guided Surgery provides state-of-the-art systems and methods for robotic and computer-assisted surgeries. In this masterpiece, contributions of 169 researchers from 19 countries have been gathered to provide 38 chapters. This handbook is 744 pages, includes 659 figures and 61 videos. It also provides basic medical knowledge for engineers and basic engineering principles for surgeons. A key strength of this text is the fusion of engineering, radiology, and surgical principles into one book. - A thorough and in-depth handbook on surgical robotics and image-guided surgery which includes both fundamentals and advances in the field - A comprehensive reference on robot-assisted laparoscopic, orthopedic, and head-and-neck surgeries - Chapters are contributed by worldwide experts from both engineering and surgical backgrounds